Video Transcript
Given that the area of the
parallelogram 𝑋𝑌𝑍𝐿 is equal to 610.9 square centimeters, find the length of
𝑋𝐿.
We need to calculate the length of
the base of the parallelogram 𝑋𝐿. We are also told that the area of
the parallelogram is 610.9 square centimeters. We recall that the area of any
parallelogram can be calculated by multiplying its base by its perpendicular
height. The perpendicular height 𝐿𝑀 is
equal to 20.5 centimeters. If we let the length 𝑋𝐿 be 𝑏
centimeters, then the area is equal to 𝑏 multiplied by 20.5. As the area is 610.9, this is equal
to 20.5𝑏.
We can calculate the value of 𝑏 by
dividing both sides of this equation by 20.5. This gives us 𝑏 is equal to
29.8. The length of 𝑋𝐿 is therefore
equal to 29.8 centimeters.
